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Finding the Fourth Proportional to 256,446.75, 353,877.98 and 141,724.02

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Solution

The fourth proportional to 256,446.75, 353,877.98 and 141,724.02 is: 195,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,446.75 : 353,877.98 = 141,724.02 : x
  2. Step 2: Convert to fraction form
    256,446.75/353,877.98 = 141,724.02/x
  3. Step 3: Cross multiply
    256,446.75x = 353,877.98 × 141,724.02
  4. Step 4: Simplify right side
    256,446.75x = 50,153,009,915.08
  5. Step 5: Solve for x
    x = 50,153,009,915.08/256,446.75
  6. Step 6: Final answer
    x = 195,568.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.